|Evaluation of Various Types of Wall Boundary Conditions for the Boltzmann Equation|
This paper presents the evaluation of several solid wall boundary conditions when used in the numerical solution of the Boltzmann equation using the finite-difference/finitevolume methods. Five solid wall boundary conditions are considered: (a) adsorption, (b) specular reflection, (c) diffuse reflection, (d) Maxwellian reflection, and (e) adsorptive Maxwellian reflection. The boundary conditions are applied on a two-dimensional discretized velocity space mesh.Methods for applying the same bounda...
Keywords: Boltzmann Equation; Non-equilibrium Hypersonic Flows; Wall Boundary Conditions for Boltzmann Equation
|Computation of Hypersonic Flow past a Blunt Body in an Inert Binary Gas Mixture in Rotational Non-equilibrium Using the Generalized Boltzmann Equation|
The results of 2-D numerical simulations of hypersonic flow of a single diatomic gas, namely Nitrogen and a binary inert mixture of two gases (which are constituents of air namely N2, O2, Ar) past a 2-D blunt body in rotational nonequilibrium from low to high Knudsen Numbers are obtained using the Wang-Chang Uhlenbeck equation or the Generalized Boltzmann Equation. The computational framework available for the classical Boltzmann equation for a monoatomic gas with translational degrees of fr...
Keywords: Generalized Boltzmann Equation; Non-equilibrium Hypersonic Flows; Shock Waves in Inert Gas Mixtures; Rotational and Vibrational Non-equilibrium FlowS
|Computation of Shock Waves in Inert Binary Diatomic Gas Mixtures in Non-equilibrium Using the Generalized Boltzmann Equation|
For numerical solution of the Generalized Boltzmann Equation (GBE) for simulating rarefied hypersonic flows in a gas mixture of multiple species, the GBE is formulated in the impulse space. The gas mixtures may consist of both monatomic and diatomic gases with arbitrary constituents, concentrations, and mass ratios. The conservative discrete ordinates method of Tcheremissine is applied to validate the solutions against the existing simulations for shock waves in an inert binary mixture of monoat...
Keywords: Generalized Boltzmann Equation; Non-equilibrium Hypersonic Flows; Shock Waves in Inert Gas Mixtures; Rotational and Vibrational Non-equilibrium Flows
|2.57 Nano-to-Macro Transport Processes Fall 2004 - MIT OCW|
This course provides parallel treatments of photons, electrons, phonons, and molecules as energy carriers, aiming at fundamental understanding and descriptive tools for energy and heat transport processes from nanoscale continuously to macroscale. Topics include the energy levels, the statistical behavior and internal energy, energy transport in the forms of waves and particles, scattering and heat generation processes, Boltzmann equation and derivation of classical laws, deviation from classica...
Keywords: nanotechnology; nanoscale; transport phenomena; photons; electrons; phonons; energy carriers; energy transport; heat transport; energy levels; statistical behavior; internal energy; waves and particles; scattering; heat generation; Boltzmann equation; classical laws; microtechnology; crystal; lattice; quantum oscillator; laudaurer; nanotube; Louiville equation; X-ray; blackbody; quantum well; Fourier; Newton; Ohm; thermoelectric effect; Brownian motion; surface tension; van der Waals potential